Problema Solution
Average movie prices in the US are, in general, lower than in other countries. It would cost 79.69 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost 75.76. How much does an average movie ticket cost in each of these countries?
Answer provided by our tutors
Let
x = average movie ticket in Japan
y = average movie ticket in Switzerland
It costs $79.69 to buy 3 tickets in Japan plus 2 tickets in Switzerland:
3x + 2y = 79.69
3 tickets in Switzerland plus 2 tickets in Japan would cost $75.76:
2x + 3y = 75.76
We have the following system of equations:
3x + y = 79.69
2x + 3y = 75.76
........
click here to see the system of equations solved for x and y
........
x = $17.51
y = $13.58
The average movie ticket in Japan is $17.51.
The average movie ticket in Switzerland is $13.58.